What is the Least Common Multiple of 84450 and 84459?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 84450 and 84459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84450 and 84459, than apply into the LCM equation.

GCF(84450,84459) = 3
LCM(84450,84459) = ( 84450 × 84459) / 3
LCM(84450,84459) = 7132562550 / 3
LCM(84450,84459) = 2377520850

Least Common Multiple (LCM) of 84450 and 84459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84450 and 84459. First we will calculate the prime factors of 84450 and 84459.

Prime Factorization of 84450

Prime Factorization of 84459

Now multiplying the highest exponent prime factors to calculate the LCM of 84450 and 84459.

LCM(84450,84459) = 2¹ × 3¹ × 5² × 563¹ × 47¹ × 599¹
LCM(84450,84459) = 2377520850